The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
Answer:
60% or 3/5
Step-by-step explanation:
Tails was the result 3 times.
There were 5 trials.
The probability is 3/5.
Answer:
Step-by-step explanation:
Given
Required
The length of the diagonals
First, calculate the length of AB using:
So, we have:
The diagonal of a square is calculated using:
Where x is the length of each side.
So:
-- approximated
Answer:
21
Step-by-step explanation:
Given
b - 4a ← substitute a = 6 and b = 45 into the expression
45 - 4(6) = 45 - 24 = 21
2x+4(0)=8
2x=8
x intercept; (4,0)
2(0)+4y=8
4y=8
y intercept; (0,2)
2x+4y=8
4y=-2x+8
4y/4=-2/4+8/4
y=-1/2x+2
